Paper Citation Record · LEDGER

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds

As of 22 August 2026, this Paper Citation Record lists 28 of 28 outbound references and 1 inbound Pith citation observation for arXiv:2501.11555.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2501.11555 v1

Coverage vector

measured 28 of 28 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T18:16:31.396982Z

measured 29 of 29 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-21T06:32:19.484+00:00

measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-16T11:25:44.014041Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-16T11:25:44.272273Z

Reference resolution

28 of 28 outbound references displayed

verified exact1
verified fuzzy22
unresolved5
parse uncertain0
malformed identifier0
metadata mismatch0

External citation measurements

No source-named external measurement is stored.

Outbound references

Observation 2a75e35d-d166-4ef4-9e90-a78ef1eb3231 · outbound

This paper cites Tuzel, F.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Tuzel, F

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:32.069962Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b3ae054f-b082-4d9d-a4f5-2eacc775879f · outbound

This paper cites Barachant, S.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Barachant, S

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:32.055165Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 5721b17d-1ad2-4f45-94aa-363b68ae815b · outbound

This paper cites Arthur and S.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Arthur and S

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:32.019617Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 54272260-9a96-45cd-b358-97073ca73d14 · outbound

This paper cites Ledoit and M.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Ledoit and M

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.997976Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 7a704901-f70f-4394-bae7-71bf1a8d35f9 · outbound

This paper cites Raninen, D.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Raninen, D

Reference 5

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.973450Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation acb5b1e2-a89e-4753-92f0-f9168eb297a5 · outbound

This paper cites Santurkar, D.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Santurkar, D

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.951669Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a3f2900b-9e14-4d8a-b749-7e84250488cd · outbound

This paper cites Bouchard, A.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bouchard, A

Reference 7

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.935582Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 451e2ce7-e5dd-456b-8900-915555706f79 · outbound

This paper cites Edelman, T.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Edelman, T

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.912540Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation bd37a499-0cac-4efa-84ed-20c848c9ef0f · outbound

This paper cites Absil, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Absil, R

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T18:16:31.279993Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

Observation 1c5849aa-215b-47f6-95f2-089e4656d116 · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:16:31.872093Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 86344247-6eb4-4083-b387-1e8b25801d56 · outbound

This paper cites Absil, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Absil, R

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.850891Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation abe5ee26-c494-4979-bfef-d9f471e7c0cd · outbound

This paper cites Batzies, K.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Batzies, K

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.809839Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 57b4d9a8-dc00-497e-89c7-0c4b3e813ff9 · outbound

This paper cites Bendokat, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bendokat, R

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.789934Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation b695d521-a5a3-41f7-a435-55bf865498de · outbound

This paper cites Collas, F.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Collas, F

Reference 14

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.770814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f16e210-5edc-4905-820f-32daab667b43 · outbound

This paper cites Huang, J.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Huang, J

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.746313Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation eec0415c-fcde-4a1c-954f-da3c5c66c975 · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 16

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:16:31.713506Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 89b46881-05c6-4018-abfc-fb5498e5692d · outbound

This paper cites Kaneko, S.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Kaneko, S

Reference 17

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.688349Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 4948bc6d-5f6f-48bb-9a90-8b39b0b5a873 · outbound

This paper cites Fiori, T.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Fiori, T

Reference 18

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.655723Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 554cc748-5279-4402-ad5d-06159c88f28d · outbound

This paper cites Absil and J.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Absil and J

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.634849Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 2c9e0ba4-b47f-422d-bb3b-0b0aa90d94b0 · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 20

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:16:31.615795Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation fd347838-7714-4dd2-af5f-666abe300be9 · outbound

This paper cites Afsari, R.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Afsari, R

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.600240Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation a6a69eec-4083-4e95-9b44-7b7f2087ecda · outbound

This paper cites an unresolved cited work.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Unresolved cited work

Reference 22

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:16:31.584061Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 59cb9229-6c3e-4ab2-9593-ae1e4005cfb0 · outbound

This paper cites Zimmermann and K.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Zimmermann and K

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.561707Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 82632408-dc91-478e-b244-9c6f8c3898bc · outbound

This paper cites Zimmermann.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Zimmermann

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.537973Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 9f2883d8-e3af-4c85-b41d-787f14023620 · outbound

This paper cites An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds An efficient algorithm for the Riemannian logarithm on the Stiefel manifold for a family of Riemannian metrics

Reference 25

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:16:31.458141Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 120fadad-3c2d-4f74-b848-fc4171a4c3a2 · outbound

This paper cites Bonnabel, A.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bonnabel, A

Reference 26

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.515586Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation 8941abf8-9105-4853-9972-42772d8f3f00 · outbound

This paper cites Bouchard, A.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Bouchard, A

Reference 27

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.500922Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Observation d929351b-829b-4afd-8472-2574d903e7b9 · outbound

This paper cites Hence, ∇f (V k) =0, and V k is a critical point.

Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds Hence, ∇f (V k) =0, and V k is a critical point

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T18:16:31.484508Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.

Pith citing papers

Observation 0e3e5a16-f195-47bf-ba96-92e29489bf55 · inbound

On the approximation of the Riemannian barycenter cites this paper.

On the approximation of the Riemannian barycenter Beyond R-barycenters: an effective averaging method on Stiefel and Grassmann manifolds

Reference 6

Resolution: verified exact; local_arxiv, observed 2026-08-16T11:25:44.276503Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-21T06:32:19.484+00:00.